What is the Greatest Common Factor of 45387 and 45393?

Greatest common factor (GCF) of 45387 and 45393 is 3.

GCF(45387,45393) = 3

We will now calculate the prime factors of 45387 and 45393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45387 and 45393.

How to find the GCF of 45387 and 45393?

We will first find the prime factorization of 45387 and 45393. After we will calculate the factors of 45387 and 45393 and find the biggest common factor number .

Step-1: Prime Factorization of 45387

Prime factors of 45387 are 3, 41. Prime factorization of 45387 in exponential form is:

45387 = 3³ × 41²

Step-2: Prime Factorization of 45393

Prime factors of 45393 are 3, 15131. Prime factorization of 45393 in exponential form is:

45393 = 3¹ × 15131¹

Step-3: Factors of 45387

List of positive integer factors of 45387 that divides 45387 without a remainder.

1, 3, 9, 27, 41, 123, 369, 1107, 1681, 5043, 15129

Step-4: Factors of 45393

List of positive integer factors of 45393 that divides 45387 without a remainder.

1, 3, 15131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45387 and 45393. The biggest common factor number is the GCF number.
So the greatest common factor 45387 and 45393 is 3.

Also check out the Least Common Multiple of 45387 and 45393